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An acid-base titration can be used to determine an analyte's equivalent weight, but it can not be used to determine its formula weight. Explain why.

Short Answer

Expert verified
Titration determines equivalent weight because it measures reactive capacity, not complete molecular composition.

Step by step solution

01

Understanding Equivalent Weight

Equivalent weight is the mass of a substance that will react with or supply one mole of hydrogen ions (H extsuperscript{+}) in an acid-base reaction. It accounts for the substance's reactive capacity in terms of hydrogen ions.
02

Understanding Formula Weight

Formula weight is the sum of the atomic weights of the atoms in a chemical formula. It represents the total mass of one mole of molecules of a substance.
03

Difference in Concepts

An acid-base titration measures the moles of reactive species, not the complete molecular structure. Equivalent weight is linked directly to the molecule's reactivity, rather than its complete composition.
04

Application to Titrations

Titration involves using a known concentration of one reactant to determine the concentration of another. This allows determination of equivalent weight because it depends on the number of moles of reactive ions.
05

Determination Limitation

In a titration, only reactive components are used to calculate equivalents, but the formula weight needs every atom in a molecule, including non-reactive parts. Thus, a titration cannot infer the total atomic composition of a molecule necessary for formula weight.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Equivalent Weight
Equivalent weight is a crucial concept in understanding how chemical reactions work, particularly those involving acids and bases. It refers to the amount of a substance that provides, or reacts with, one mole of hydrogen ions \( (H^+) \) in an acid-base reaction.
This measure is significant because it considers the actual chemical reactivity of the substance.

During a titration, it's possible to determine the equivalent weight by calculating how much substance is needed to react with a known quantity of another reactant.
  • An acid or base's equivalent weight depends heavily on its ability to either donate or accept \( H^+ \) ions.
  • This measure directs us to understand the chemical deficiency or potency of various compounds in a solution.
Through titration, only those ions or groups participating in the reaction are considered for calculating the equivalent weight, making it different from formula weight.
Formula Weight
Formula weight, often synonymous with molecular weight, represents the sum of the atomic weights of all atoms in a chemical formula.
This offers the total mass of a single molecule or formula unit of a substance.

This measure is essential when considering the entire composition of a chemical compound.
  • To calculate formula weight, you sum up the atomic masses of all constituent atoms listed in the chemical formula.
  • It reflects the weight of a mole of molecules, integral for understanding substances at the molecular level.
Unlike equivalent weight, formula weight includes every atom in a molecule, regardless of its role in a reaction.
Thus, an acid-base titration cannot determine formula weight, as titration only considers the reactive species rather than the entire molecular structure.
Chemical Reactivity
Chemical reactivity is how a substance interacts with other substances to form new compounds.
For acid-base reactions, the predominant measure is how substances donate or accept \( H^+ \) ions.

Equivalent weight is inherently linked to chemical reactivity, as it focuses on the active interaction capacity of the ions involved.
  • Understanding reactivity aids in predicting the outcomes of reactions and the conditions under which they proceed.
  • The reactivity of an acid or base directly influences its equivalent weight, as only the participating ions are calculated.
In titrations, measuring reactivity provides insight into the lesser-understood dynamic roles various substances play during a reaction, which informs the resulting calculation of equivalent weight.
Molecular Structure
Molecular structure describes the arrangement of atoms within a molecule, including their spatial configuration and bonding patterns.
For formula weight, every constituent atom contributes to the value, reflecting the molecule's full chemical composition.
  • Understanding molecular structure helps in identifying molecular interactions and reactivity potential beyond what's evident in simple formula weight.
  • This structure aids in comprehensive comprehension of complex molecular behaviors, such as how the structure affects a substance's entire set of physical and chemical properties.
However, in a titration, the full molecular structure is not assessed, hence, making the determination of formula weight incomplete.
The process fixes solely on the reactive part, leading to an accurate measurement of equivalent weight but not formula weight.

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Explain why it is not possible for a sample of water to simultaneously have \(\mathrm{OH}^{-}\) and \(\mathrm{HCO}_{3}^{-}\) as sources of alkalinity.

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A 0.1036 -g sample that contains only \(\mathrm{BaCl}_{2}\) and \(\mathrm{NaCl}\) is dissolved in \(50 \mathrm{~mL}\) of distilled water. Titrating with \(0.07916 \mathrm{M} \mathrm{AgNO}_{3}\) requires \(19.46 \mathrm{~mL}\) to reach the Fajans end point. Report the \(\% \mathrm{w} / \mathrm{w} \mathrm{BaCl}_{2}\) in the sample.

The concentration of \(o\) -phthalic acid in an organic solvent, such as \(n\) butanol, is determined by an acid-base titration using aqueous \(\mathrm{NaOH}\) as the titrant. As the titrant is added, the \(o\) -phthalic acid extracts into the aqueous solution where it reacts with the titrant. The titrant is added slowly to allow sufficient time for the extraction to take place. (a) What type of error do you expect if the titration is carried out too quickly? (b) Propose an alternative acid-base titrimetric method that allows for a more rapid determination of the concentration of \(o\) -phthalic acid in \(n\) -butanol.

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